Solution
Solution
Solution steps
Apply exponent rule:
Expand
Complete the square
Apply u-substitution
Apply Trigonometric Substitution
Take the constant out:
Rewrite using trig identities
Take the constant out:
Apply the Sum Rule:
Substitute back
Simplify
Add a constant to the solution
Popular Examples
integral of (3sqrt(x))/(-2)integral of (y^2)/((x^2+y^2)^{3/2)}integral of 3sqrt(x)-1/(2sqrt(x))integral of x^{3/2}ln(3x)integral of (1-sin(2t))^{3/2}cos(2t)
Frequently Asked Questions (FAQ)
What is the integral of sqrt(x)sqrt(16-x) ?
The integral of sqrt(x)sqrt(16-x) is 32(arcsin(1/8 x-1)+1/2 sin(2arcsin(1/8 x-1)))+C